Abstract
Theory of second harmonic generation at a metal surface is developed, when surface plasmon-polaritons are resonantly excited by the incident electromagnetic field. For harmonic generation from small metallic spheres characterized by the dielectric function ϵ 1(ω) + iϵ 2(ω), the resonant enhancement of the second harmonic intensity is predicted to be of the order of ( ϵ 1 ϵ 2 ) 4 . The resonant enhancement is much smaller for the case of a metallic grating.
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